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Finding the Fourth Proportional to 286,871.28, 395,880.17 and 157,806.97

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Solution

The fourth proportional to 286,871.28, 395,880.17 and 157,806.97 is: 217,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,871.28 : 395,880.17 = 157,806.97 : x
  2. Step 2: Convert to fraction form
    286,871.28/395,880.17 = 157,806.97/x
  3. Step 3: Cross multiply
    286,871.28x = 395,880.17 × 157,806.97
  4. Step 4: Simplify right side
    286,871.28x = 62,472,650,110.78
  5. Step 5: Solve for x
    x = 62,472,650,110.78/286,871.28
  6. Step 6: Final answer
    x = 217,772.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.